Slant Height of Truncated Cone Calculator

✖Base Radius of Truncated Cone is the distance between the center and any point on the circumference of the base circular surface of the Truncated Cone.ⓘ Base Radius of Truncated Cone [r_Base]			+10% -10%
✖Top Radius of Truncated Cone is the distance between the center and any point on the circumference of the top circular surface of the Truncated Cone.ⓘ Top Radius of Truncated Cone [r_Top]			+10% -10%
✖Height of Truncated Cone is the vertical distance from the base circular surface to the top most point of the Truncated Cone.ⓘ Height of Truncated Cone [h]			+10% -10%

✖Slant Height of Truncated Cone is the length of the straight line connecting any point on the base to the truncated top circular face of the Truncated Cone.ⓘ Slant Height of Truncated Cone [h_Slant]

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Formula

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Slant Height of Truncated Cone

Formula

`"h"_{"Slant"} = sqrt(("r"_{"Base"}-"r"_{"Top"})^2+"h"^2)`

Example

`"7.615773m"=sqrt(("5m"-"2m")^2+("7m")^2)`

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Slant Height of Truncated Cone Solution

STEP 0: Pre-Calculation Summary

Formula Used

Slant Height of Truncated Cone = sqrt((Base Radius of Truncated Cone-Top Radius of Truncated Cone)^2+Height of Truncated Cone^2)
h_Slant = sqrt((r_Base-r_Top)^2+h^2)
This formula uses 1 Functions, 4 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Slant Height of Truncated Cone - (Measured in Meter) - Slant Height of Truncated Cone is the length of the straight line connecting any point on the base to the truncated top circular face of the Truncated Cone.
Base Radius of Truncated Cone - (Measured in Meter) - Base Radius of Truncated Cone is the distance between the center and any point on the circumference of the base circular surface of the Truncated Cone.
Top Radius of Truncated Cone - (Measured in Meter) - Top Radius of Truncated Cone is the distance between the center and any point on the circumference of the top circular surface of the Truncated Cone.
Height of Truncated Cone - (Measured in Meter) - Height of Truncated Cone is the vertical distance from the base circular surface to the top most point of the Truncated Cone.

STEP 1: Convert Input(s) to Base Unit

Base Radius of Truncated Cone: 5 Meter --> 5 Meter No Conversion Required
Top Radius of Truncated Cone: 2 Meter --> 2 Meter No Conversion Required
Height of Truncated Cone: 7 Meter --> 7 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h_Slant = sqrt((r_Base-r_Top)^2+h^2) --> sqrt((5-2)^2+7^2)

Evaluating ... ...

h_Slant = 7.61577310586391

STEP 3: Convert Result to Output's Unit

7.61577310586391 Meter --> No Conversion Required

FINAL ANSWER

7.61577310586391 ≈ 7.615773 Meter <-- Slant Height of Truncated Cone

(Calculation completed in 00.004 seconds)

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Created by Nikhil

Mumbai University (DJSCE), Mumbai

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Verified by Dhruv Walia

Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand

Dhruv Walia has verified this Calculator and 400+ more calculators!

< 4 Slant Height of Truncated Cone Calculators

Slant Height of Truncated Cone given Volume

Go Slant Height of Truncated Cone = sqrt(((3*Volume of Truncated Cone)/(pi*(Base Radius of Truncated Cone^2+(Base Radius of Truncated Cone*Top Radius of Truncated Cone)+Top Radius of Truncated Cone^2)))^2+(Base Radius of Truncated Cone-Top Radius of Truncated Cone)^2)

Slant Height of Truncated Cone given Total Surface Area

Go Slant Height of Truncated Cone = (Total Surface Area of Truncated Cone-pi*(Base Radius of Truncated Cone^2+Top Radius of Truncated Cone^2))/(pi*(Base Radius of Truncated Cone+Top Radius of Truncated Cone))

Slant Height of Truncated Cone given Curved Surface Area

Go Slant Height of Truncated Cone = Curved Surface Area of Truncated Cone/(pi*(Base Radius of Truncated Cone+Top Radius of Truncated Cone))

Slant Height of Truncated Cone

Go Slant Height of Truncated Cone = sqrt((Base Radius of Truncated Cone-Top Radius of Truncated Cone)^2+Height of Truncated Cone^2)

Slant Height of Truncated Cone Formula

Slant Height of Truncated Cone = sqrt((Base Radius of Truncated Cone-Top Radius of Truncated Cone)^2+Height of Truncated Cone^2)
h_Slant = sqrt((r_Base-r_Top)^2+h^2)

What is a Truncated Cone?

A Truncated Cone is basically a circular cone of which top is cut or 'truncated' by a horizontal plane. Or in another way, a Truncated Cone is formed when a smaller circular cone is cut from the top of a larger circular cone. The Truncated has two circular surfaces - one on top and another on the bottom, and a lateral curved surface. The slant height is the shortest distance between the two circles on the lateral surface, which is the surface without the circles.

How to Calculate Slant Height of Truncated Cone?

Slant Height of Truncated Cone calculator uses Slant Height of Truncated Cone = sqrt((Base Radius of Truncated Cone-Top Radius of Truncated Cone)^2+Height of Truncated Cone^2) to calculate the Slant Height of Truncated Cone, The Slant Height of Truncated Cone formula is defined as the length of the straight line connecting any point on the base to the truncated top circular face of the Truncated Cone. Slant Height of Truncated Cone is denoted by h_Slant symbol.

How to calculate Slant Height of Truncated Cone using this online calculator? To use this online calculator for Slant Height of Truncated Cone, enter Base Radius of Truncated Cone (r_Base), Top Radius of Truncated Cone (r_Top) & Height of Truncated Cone (h) and hit the calculate button. Here is how the Slant Height of Truncated Cone calculation can be explained with given input values -> 7.615773 = sqrt((5-2)^2+7^2).

FAQ

What is Slant Height of Truncated Cone?

The Slant Height of Truncated Cone formula is defined as the length of the straight line connecting any point on the base to the truncated top circular face of the Truncated Cone and is represented as h_Slant = sqrt((r_Base-r_Top)^2+h^2) or Slant Height of Truncated Cone = sqrt((Base Radius of Truncated Cone-Top Radius of Truncated Cone)^2+Height of Truncated Cone^2). Base Radius of Truncated Cone is the distance between the center and any point on the circumference of the base circular surface of the Truncated Cone, Top Radius of Truncated Cone is the distance between the center and any point on the circumference of the top circular surface of the Truncated Cone & Height of Truncated Cone is the vertical distance from the base circular surface to the top most point of the Truncated Cone.

How to calculate Slant Height of Truncated Cone?

The Slant Height of Truncated Cone formula is defined as the length of the straight line connecting any point on the base to the truncated top circular face of the Truncated Cone is calculated using Slant Height of Truncated Cone = sqrt((Base Radius of Truncated Cone-Top Radius of Truncated Cone)^2+Height of Truncated Cone^2). To calculate Slant Height of Truncated Cone, you need Base Radius of Truncated Cone (r_Base), Top Radius of Truncated Cone (r_Top) & Height of Truncated Cone (h). With our tool, you need to enter the respective value for Base Radius of Truncated Cone, Top Radius of Truncated Cone & Height of Truncated Cone and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Slant Height of Truncated Cone?

In this formula, Slant Height of Truncated Cone uses Base Radius of Truncated Cone, Top Radius of Truncated Cone & Height of Truncated Cone. We can use 3 other way(s) to calculate the same, which is/are as follows -

Slant Height of Truncated Cone = Curved Surface Area of Truncated Cone/(pi*(Base Radius of Truncated Cone+Top Radius of Truncated Cone))
Slant Height of Truncated Cone = (Total Surface Area of Truncated Cone-pi*(Base Radius of Truncated Cone^2+Top Radius of Truncated Cone^2))/(pi*(Base Radius of Truncated Cone+Top Radius of Truncated Cone))
Slant Height of Truncated Cone = sqrt(((3*Volume of Truncated Cone)/(pi*(Base Radius of Truncated Cone^2+(Base Radius of Truncated Cone*Top Radius of Truncated Cone)+Top Radius of Truncated Cone^2)))^2+(Base Radius of Truncated Cone-Top Radius of Truncated Cone)^2)

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